An employee makes less than $78,000
a year in income. Which inequality and graph represent the employee’s possible income?
Responses

Answer:

4 two meter cords

Step-by-step explanation:

Answer:

7/2=3.5

Step-by-step explanation:

Danika walks 50 blocks in one week.

Multiplication is a mathematical operation that embodies the fundamental concept of repeated addition of the same integer. The multiplied numbers are known as the factors, and the outcome of the multiplication of two or more numbers is known as the product of those numbers. Multiplication is used to make repetitive adding of the same number easier. It is used for combining groups of identical size.

As per the data given,

We have,

Danika lives at 5 blocks from her school.

As Danika walks 5 blocks to and from school, making her round trip

So, total distance covered by Danika will be: 5 blocks + 5 blocks = 10 blocks.

As Danika walks to and from school 5 days a week,

Hence, she walks 10 blocks * 5 days = 50 blocks in one week.

For more questions on Multiplication

https://brainly.com/question/10873737

#SPJ4

The treatment process of water involves different steps, including screening, settling, and disinfection.

To achieve the final product, there are various key parameters that the water must meet.

The treatment process of water involves different steps, including screening, settling, and disinfection. Before the treatment process, the water undergoes preliminary treatments to remove large impurities. Here are the primary water treatment steps;

Coagulation and flocculation - This process involves adding chemical substances to water to make impurities stick together. This process helps remove dirt, sediments, and other substances from the water.Sedimentation - Once the impurities have come together, the water is left to settle so that the impurities settle at the bottom of the container.

Filtration - The water passes through filters, which help remove the remaining impurities.Disinfection - The water is disinfected using chemicals such as chlorine to kill any remaining bacteria and viruses

water treatment basics involve the process of cleaning and treating contaminated water to make it safe for use or consumption. The process involves various stages, including coagulation and flocculation, sedimentation, filtration, and disinfection.

Before the treatment process, the water undergoes preliminary treatments to remove large impurities. To achieve the final product, there are various key parameters that the water must meet.

These parameters include water pH, turbidity, color, temperature, and taste. The final water product must be safe, clear, odorless, and colorless. In some instances, the water must be mineral-rich for consumption. In summary, water treatment is an essential process that ensures the availability of clean and safe water for use or consumption.

To know more about Coagulation  visit:

brainly.com/question/28175731

#SPJ11

The important resonance structures for the given ion must be drawn, showing all lone pairs of electrons, formal charges, double bonds, and electron flow arrows.

Resonance structures are alternative representations of a molecule or ion that differ only in the placement of electrons. They are important in understanding the stability and reactivity of organic compounds. In this case, we are asked to draw the important resonance structures for a specific ion.

To start, we need to identify the ion and its molecular formula. Once we have that information, we can determine the possible resonance structures. Each resonance structure is a valid Lewis structure that obeys the octet rule and maintains the overall charge of the ion.

To draw the resonance structures, we begin by placing the atoms in their correct positions and adding lone pairs of electrons as needed. Next, we identify any double bonds or formal charges present in the original ion.

Using curved arrows, we show the movement of electrons to generate alternative resonance structures. The movement of electrons can involve breaking and forming bonds, as well as the shifting of lone pairs.

By drawing all the important resonance structures, we gain a better understanding of the electron distribution and the stability of the ion. This knowledge is crucial for predicting the reactivity and behavior of the compound.

Learn more about Resonance structures

brainly.com/question/14466514

#SPJ11

You run 5/12 mile down the slope

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator.

Given: Total distance = 2 1/2  miles,

distance on a hill = 1/3 of Total distance = 2 1/2 x 1/3 = 5/2 x 1/3 = 5/6 mile

Thus, the distance on a hill is 5/6 mile

Whereas the distance down a slope is half that of the hill:

distance down a slope = 1/2 of distance on a hill = 1/2 x 5/6 = 5/12 mile

Therefore, the distance down the slope is 5/12 mile

Learn more about fractions on:

https://brainly.com/question/11562149

#SPJ1

False. If E and F are independent events, then Pr(E|F) is not necessarily equal to Pr(E).

The probability of an event E given event F, denoted as Pr(E|F), represents the probability of event E occurring given that event F has already occurred. In the case of independent events, the occurrence of one event does not affect the probability of the other event occurring.

By definition, two events E and F are independent if and only if Pr(E ∩ F) = Pr(E) × Pr(F), where Pr(E ∩ F) represents the probability of both events E and F occurring.

Now, let's consider the statement that Pr(E|F) = Pr(E) when E and F are independent events. This implies that the probability of event E occurring given that event F has occurred is the same as the probability of event E occurring without any knowledge of event F.

However, this is not necessarily true. The conditional probability Pr(E|F) takes into account the occurrence of event F, which may affect the probability of event E. Even if events E and F are independent, the value of Pr(E|F) may differ from Pr(E) if the occurrence of event F provides additional information or changes the probability distribution of event E.

The statement "Pr(E|F) = Pr(E)" when E and F are independent events is false. While independence between events E and F ensures that the occurrence of one event does not affect the probability of the other event, it does not guarantee that the conditional probability Pr(E|F) will be equal to the unconditional probability Pr(E).

Learn more about probability here:

https://brainly.com/question/31828911

#SPJ11

The right triangle, like the other triangles, has three sides, three vertices, and three angles. The difference between the other triangles and the right triangle is that the right triangle has a 90  angle.

To find missing angles and sides and round to the nearest tenth, you can use different methods depending on the given information and the type of triangle or shape involved.

Some common methods include:
Trigonometric ratios (sine, cosine, tangent) for right triangles.
Angle sum property or exterior angle property for triangles.
Pythagorean theorem for right triangles.
Law of cosines and law of sines for non-right triangles.
To help find the missing angles and sides of a triangle, you need certain information about the triangle, such as known angle and side measurements, or information about the properties of the triangle.

Without this information, no concrete calculations can be made.

Provide the necessary information or describe the problem in more detail and we will help you find the missing corners and sides of the triangle and round it to tenths.

Remember to always check if any additional information is given, such as side lengths or angles ' 7 and to apply the appropriate formula or property to find the missing value.

Round your answer to the nearest tenth as specified.

For more related questions on right triangle:

https://brainly.com/question/2773823

#SPJ8

\(\bull\)Total number of seats in theatre = 4500

\(\bull\)Total number of seats left vacant = 3105

\(\longrightarrow\)Number of seats occupied = Total number of seats in theatre - Total number of seats left vacant

\(\longrightarrow\)Number of seats occupied

\(\quad\)= 4500 - 3105

\(\longrightarrow\) 1395

\(\\\)

Now,

\(\begin{gathered}\bull \sf Percentage \:of \:seats \:filled = \frac{Seats \: filled \: by \:6th \:grader }{Total \:number \:of \:seats} \times 100 \% \\\end{gathered} \)

\(\begin{gathered}\bull \sf Percentage \: of \:seats \: filled = \frac{1395}{45\cancel{00}} \times \cancel{100} \% \\\end{gathered} \)

\(\begin{gathered}\implies\quad \sf \frac{1395}{45} \% \\\end{gathered} \)

\(\begin{gathered}\implies\quad \sf 31 \% \\\end{gathered} \)

\(\longrightarrow\)Thus , 31 % of seats in the theater were filled by the 6th graders on the trip

Answer:

30

Step-by-step explanation:

30

The mean, median, and mode of the given monthly salary is 1794, 1790, and 1940, respectively.

Measures of central tendency assist in the discovery of a data set's middle, or average. The mode, median, and mean are the three most popular metrics of central tendency.

Mode: It is the most common value in a given data set.

Median: In an ordered data set, the median is the number in the middle.

Mean: It is the total number of values divided by the sum of all values.

For the given data, the mean, median and the mode of the data can be found as shown below,

Sum of the Observations

= 1940 + 1660 + 1860 + 2100 + 1720 + 1540 + 1760 + 1940 + 1820 + 1600

= 17940

Number of Observations = 10

The mean of the data is,

Mean = Sum of Observations / Number of Observations

          = 17940 / 10  
          = 1794

The median of the data can be found by arranging the data in an order first. Therefore, the data can be arranged as,

The median of the data is,

Median = (Sum of the two mid values) / 2

             = (1760 + 1820) / 2

             = 1790

The mode of the data is 1940, since this is repeated twice.

b.

If the salary of each employee is increased by 5% that means that the value of each observation in the data will increase by 5%. Therefore, The raise increases the mean, median, and mode by 5% each.

c.

As it is now required to find the mean, median, and mode of the annual salary; there is a need to multiply the monthly salary of each employee by 12. Therefore, the value of each observation will be 12 times its original value. These values are 12 times the mean median, and mode of the monthly salaries.

Learn more about the Central Tendency here:

https://brainly.com/question/17330554

#SPJ3

Answer: 24

Step-by-step explanation:

Factors of 96:  1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Factors of 120: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60 , 120

Highest number between the two sets of factors which is common is 24

Answer:

It should.

Step-by-step explanation:

If a nearby city is losing people then the large city should try to help.  

Answer:

Step-by-step explanation:

12/18= 2/3, that’s the ratio of how many questions he gets right compared to total questions

So if there are 30 questions total, he will get 20 right (30 x 2/3)

If you’re taking into consideration that he already answered 18 questions, he will get 8 more correct

Answer:

The equation gives only the total vertical distance traveled by the firework or maximum height reached by the firework

Step-by-step explanation:

Given;

A function that models the fireworks vertical distance with no respect to time,x, as;

f(x)=-16x^+96x+112

The equation gives only the total vertical distance traveled by the firework, it does not account for the position of the firework at a particular time.

Thus, with the given function we can only estimate the maximum height reached by the firework.

The correct choice is (e) All of the above is a property for all LP problems.

All Linear Programming (LP) problems have a linear objective function that is to be maximized or minimized (property a), a set of linear constraints (property b), and decision variables (property c). Additionally, LP problems require variables that are all restricted to nonnegative values (property d). Therefore, all of the given properties are true for all LP problems, making option (e) the correct choice.

To know more about LP problems,

https://brainly.com/question/28257758

#SPJ11

The equation of the line in point-slope form and in​ slope-intercept form are both y = 1/2x.

1. Point-Slope Form: y - y1 = m(x - x1), where m is the slope of the line and (x1, y1) is a point on the line.

2. Slope-Intercept Form: y = mx + b, where m is the slope of the line and b is the y-intercept.

3. Standard Form: Ax + By = C, where A and B are coefficients that define the slope and y-intercept of the line.

If a line has a slope of 1/2 and passing through the origin, then:

m = 1/2

(x1, y1) = (0,0)

Plug in the values in the point-slope form and in​ slope-intercept form.

point-slope form

y - y1 = m(x - x1)

y - 0 = 1/2(x - 0)

y = 1/2x

slope-intercept form

y = mx + b

y = 1/2x + b

Substitute the values of x and y and solve for the y-intercept, b.

0 = 1/2(0) + b

b = 0

y = 1/2x + 0

y = 1/2x

Learn more about equation of line here: https://brainly.com/question/6497976

#SPJ4

The department should offer 80 sections of finite math and 90 sections of applied calculus to fill all sections and accommodate all of the students.

Let x be the number of sections of finite math and y be the number of sections of applied calculus. Then we have:

x + y = 170   (total number of sections offered)

90x + 80y = 14400   (total number of students)

To solve for x and y, we can use elimination or substitution.

Let's use elimination by multiplying the first equation by 80 and subtracting it from the second equation:

90x + 80y = 14400
-80x - 80y = -13600
-----------------
10x = 800
x = 80

Now we can substitute x = 80 into either equation to solve for y:

80 + y = 170
y = 90

Therefore, the department should offer 80 sections of finite math and 90 sections of applied calculus to fill all sections and accommodate all of the students.

for such more question on word problem

https://brainly.com/question/21405634

#SPJ11

Answer:

Step-by-step explanation:

20% of 207.77 = 41.554

1% of 207.77 = 2.0777

21% of 207.77 = 41.554+2.007=43.6317

207.77+43.6317 = 251.4017

Round to 2 decimal places because its money = 251.40

The interest rate on the $5000 investment is 4.5%, and the interest rate on the $14,000 investment is 5.0%.

Let's call the interest rate on the $5000 investment "r", then the interest rate on the $14,000 investment is "r + 0.5%".

We know that the annual interest on the $14,000 investment exceeds the interest earned on the $5000 investment by $475. This means we can set up the following equation:

0.01(r + 0.5%) x $14,000 - 0.01r x $5000 = $475

Simplifying this equation, we get:

0.01r x $14,000 + 0.005 x $14,000 - 0.01r x $5000 = $475

0.01r x $9000 = $475 - 0.005 x $14,000

0.01r = ($475 - 0.005 x $14,000) / $9000

r = 0.045

Therefore, the interest rate on the $5000 investment is 4.5%, and the interest rate on the $14,000 investment is 5.0%.

learn more about interest: https://brainly.com/question/25793394

#SPJ1

The function is not normalizable and cannot be a wave function.

A wave function must satisfy two important conditions. First, it must be normalizable, meaning its integral over all space is finite.

Second, it must be single-valued and continuous.

(i) The function Ψ1​(x) = \(e^{-x^{5} }\) is acceptable as a wave function, since it is continuous everywhere and decays to zero as x → ±∞.

However, we must check if it is normalizable. The normalization condition for a one-dimensional wave function Ψ(x) is:

∫(-∞) to ∞ |Ψ(x)|²dx = 1

In this case, we have:

∫(-∞) to ∞ |Ψ₁(x)|² dx

= ∫(-∞) to ∞ \(e^{-2x^{5} }\) dx

This integral can be quite challenging to evaluate, but we can see that the integrand goes to zero faster than any power of x as x → ±∞.

Therefore, the integral is convergent and the function is normalizable.

Therefore, Ψ₁(x) is an acceptable wave function.

(ii) The function Ψ₂​(x) = cos(x - 2π/3) is not acceptable as a wave function, since it is not normalizable.

The normalization condition for a one-dimensional wave function Ψ(x) is:

∫( -∞) to ∞ |Ψ(x)|² dx = 1

In this case, we have:

∫(-∞) to ∞ |Ψ₂​(x)|² dx = ∫(-∞)to∞ cos²(x - 2π/3) dx

This integral is not convergent, since the integrand oscillates between 0 and 1 over an infinitely repeating interval.

Therefore, the function is not normalizable and cannot be a wave function.

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ4

Answer:

  80 square units

Step-by-step explanation:

The area formula refers to a generic triangle ABC in which side lengths 'a' and 'b' are known and angle C is between those sides.

In the given figure, we have known side lengths of 12 and 14, and the angle between them is 72°.

Putting these numbers into the formula, we find the area to be ...

  A = (1/2)(12)(14)sin(72°) ≈ 79.9 ≈ 80 . . . . square units

The area of the triangle is about 80 square units.

Answer:

14:40

Step-by-step explanation:

Answer:

if your looking for the slope it would be 3/1. that is 3 over 1

Answer:

y = - \(\frac{5}{2}\) x - 2

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 2, 3) and (x₂, y₂ ) = (0, - 2) ← 2 points on the line

m = \(\frac{-2-3}{0-(-2)}\) = \(\frac{-5}{0+2}\) = - \(\frac{5}{2}\)

the line crosses the y- axis at (0, - 2 ) ⇒ c = - 2

y = - \(\frac{5}{2}\) x - 2 ← equation of line

Answer:

7 quarts.

Step-by-step explanation:

First, let's convert all the units to quarts. There are 2 pints in 1 quart, so 5 pints of orange sherbet is equivalent to 5/2 = 2.5 quarts. Similarly, 7 pints of vanilla ice cream is equivalent to 7/2 = 3.5 quarts. The recipe calls for 6 quarts of lemonade and 2.5 quarts of orange sherbet, for a total of 6 + 2.5 = 8.5 quarts of liquid. Since the punch bowl holds 4 gallons, which is equivalent to 4 * 4 = 16 quarts, Jasmine needs to add 16 - 8.5 = 7.5 quarts of ginger ale to the punch bowl. Since 1 quart is equivalent to 2 pints, Jasmine needs to add 7.5 * 2 = <<7.5*2=15>>15 pints of ginger ale to make one bowl of punch. Thus, the correct answer is 7 quarts.

Tell me if this helped :)

The idea that group work theories are appropriate for all clients all the time is a myth (Third option).

About Group Process:

The term "group process" describes how people collaborate within an organization to complete tasks. Typically, organizations invest a lot of time and effort into defining and achieving goals, but little thought is usually given to how those goals are affecting the most valuable resource of a group - its people.

Since different clients have different demands and priorities, group work might not be suitable for many, but not for all. Different types of clients require different types of collaboration, type of group or individuals, and working strategies that work for their goals the best.

Learn more about group here:

https://brainly.com/question/6174918

#SPJ4

If z varies with y and inversely with and z = 6 when x = 4 and y = 3, then the value of Proportionality Constant is given by 8.

Proportion is a relation between two mathematical variables. If two variables vary directly that states if one increases another will also decrease and same for decrease.

If two variables are in inverse relation that states that if one variable increases then another decreases and if one variable decreases then another increases.  

Given that, z varies with y and inversely with x. So,

z = k*(y/x), where k is the proportionality constant.

Given that, z = 6 when x = 4 and y = 3. So,

6 = k*(3/4)

k = (6*4)/3

k = 2*4

k = 8

Hence the value of Proportionality Constant is 8.

To know more about proportionality constant here

https://brainly.com/question/27598477

#SPJ1

The question is incomplete. The complete question will be -

"z varies with y and inversely with x when z=6, x=4, and y=3. Find the value of Proportionality Constant."

Using the fact that the sum of the angles in a triangle is 180 degrees we do know that their sum is 119 degrees.

To understand why we used the fact that the sum of angles in a triangle is 180 degrees, let's take a closer look at the diagram.

We see that Angle 2 and Angle 5 are on the same side of a transversal and are therefore supplementary angles. This means that their sum is 180 degrees:

Angle 2 + Angle 5 = 180

We can substitute the value of Angle 5 (49 degrees) for Angle 5 and x + 12 for Angle 2 to get:

x + 12 + 49 = 180

Simplifying the equation, we get:

x = 119 - 49 - 12

x = 58

This gives us the value of x, but not the measure of Angle 2. To find the measure of Angle 2, we need to use the fact that the sum of angles in a triangle is 180 degrees.

We can write an equation using angles 2, 3, and 4 (which we now know is 49 degrees) as follows:

Angle 2 + Angle 3 + Angle 4 = 180

Substituting the known values, we get:

x + 12 + Angle 3 + 49 = 180

Simplifying the equation, we get:

x + Angle 3 = 119

So, we know that the sum of Angle 3 and x is 119 degrees, but we still don't know the measure of either angle on its own.

Learn more about angle

brainly.com/question/12051953

#SPJ11

To correct the given expression in proper Sum-of-Products format is to apply the Commutative Law.

In Boolean algebra, the Commutative Law states that the order of operands can be changed without affecting the result of the operation. In the given expression, the terms A ˉ ⋅ B ⋅ C and A ⋅ B ⋅ C can be rearranged to have the same variables grouped together. By applying the Commutative Law, we can rewrite the expression as X = B ⋅ C ⋅ A ˉ + B ⋅ C ⋅ A + B ⋅ C ⋅ A. Now the expression is in a form where the terms are grouped based on the common variables.

By rearranging the terms and applying the Commutative Law, we can bring the expression closer to the proper Sum-of-Products format. However, further steps may be required to fully convert it into the desired format. The Sum-of-Products form represents a Boolean function as the sum (OR) of multiple product (AND) terms, where each term consists of literals (variables) and their complements.

Learn more about Commutative Law here: brainly.com/question/33658023

#SPJ11

The expression equivalent to -4(-5+3) is -4(-2).

To find the equivalent expression, follow these steps: 1.

Evaluate the expression inside the parentheses first: (-5 + 3) = -2 2.

Now, multiply the result by -4: -4(-2) .

The equivalent expression to -4(-5+3) is -4(-2).
To arrive at this answer, we can simplify the expression -4(-5+3) by first solving the expression inside the parentheses: -5+3 equals -2.
We can then substitute -2 into the original expression to get -4(-2).
Multiplying -4 and -2 together gives us 8, which is the main answer to the question.

In summary, -4(-5+3) is equivalent to 8.

Learn more about expression click here:

https://brainly.com/question/1859113

#SPJ11